Question

solve the following pairs of equation by reducing them to a pair of linear equation that is 1/3x + 1/5y=7 and 1/2 x + 1/4y =11/8

Answer 1

Answer:

x = -177/2

y = 365/2

Step-by-step explanation:

$\frac{x}{3} + \frac{y}{5} = 7 \: \: \: \: \: \: \: \: - \: 1 \\ \frac{x}{2} + \frac{y}{4} = \frac{11}{8} \: \: \: \: \: \: \: \: - 2$

Multiply the first equation by 3, and 2nd equation by two and subtract 2 from 1 to get

$x + \frac{3y}{5} - x - \frac{y}{2} = 21 - \frac{11}{4} \\ \frac{y}{10} = \frac{73}{4} \\ y = \frac{365}{2} \\ x = \frac{ - 177}{2}$

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